When it comes to cleaning car rims there isn’t much to it. There are many approaches but if you ask me it’s best to clean the tires first and the rims afterward. The reason I say this is because when you are cleaning any area of the vehicle you always want to clean from the top down. If you do the opposite then the dirt from the top can end up spilling down and dirtying the bottom area all over again. You’ll also want to clean the mud flaps as well which can accumulate a lot of dirt.
As far as the tools & products you’ll need I recommend a water hose, a scrub brush, and a crevice tool brush. You’ll also need an acid-based wheel cleaner which is really popular. A good brand would be Mcguiar’s wheel brightener. They are strong enough to cut through brake dust without causing harm to the plastic rim.